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Finding the Fourth Proportional to 836.05, 1,153.13 and 703.97

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Solution

The fourth proportional to 836.05, 1,153.13 and 703.97 is: 970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.05 : 1,153.13 = 703.97 : x
  2. Step 2: Convert to fraction form
    836.05/1,153.13 = 703.97/x
  3. Step 3: Cross multiply
    836.05x = 1,153.13 × 703.97
  4. Step 4: Simplify right side
    836.05x = 811,770.45
  5. Step 5: Solve for x
    x = 811,770.45/836.05
  6. Step 6: Final answer
    x = 970.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.